{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Frustum Radar Cross Section\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 7.4.1.7, the frustum geometry is shown in Figure 7.13. An approximation for the radar cross section due to linearly polarized incident energy is given by (Equation 7.60)\n",
    "\n",
    "$$\n",
    "    \\sigma = \\frac{b\\, \\lambda}{8\\pi\\sin\\theta_i} \\tan^2(\\theta_i - \\alpha)  \\hspace{0.5in} \\text{(m}^2\\text{)},\n",
    "$$\n",
    "\n",
    "When the incident angle is normal to the side of the frustum, $\\theta_i = 90 + \\alpha$, an approximation for the radar cross section is (Equation 7.61)\n",
    "\n",
    "$$\n",
    "    \\sigma = \\frac{8\\pi\\big(z_2^{1.5} - z_1^{1.5} \\big)^2 \\sin\\alpha}{9\\lambda\\cos^4\\alpha} \\hspace{0.5in} \\text{(m}^2\\text{)}.\n",
    "$$\n",
    "\n",
    "When the incident angle is either $0^o$ or $180^o$, the radar cross section is approximated by a flat circular plate, as given in Table 7.1.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the operating frequency (Hz), the nose radius (m), the base radisu (m) and the length (m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "frequency = 1e9\n",
    "\n",
    "nose_radius = 0.1\n",
    "\n",
    "base_radius = 0.8\n",
    "\n",
    "length = 3.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the incident angles using the `linspace` routine from `scipy`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import linspace\n",
    "\n",
    "from scipy.constants import pi\n",
    "\n",
    "incident_angle = linspace(0, pi, 1801)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the radar cross section (m^2) for the frustum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.rcs.frustum import radar_cross_section\n",
    "\n",
    "from numpy import array\n",
    "\n",
    "\n",
    "rcs = array([radar_cross_section(frequency, nose_radius, base_radius, length, ia) for ia in incident_angle])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from numpy import log10, degrees\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    "# Display the results\n",
    "\n",
    "plt.plot(degrees(incident_angle), 10 * log10(rcs), '')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('RCS vs Incident Angle', size=14)\n",
    "\n",
    "plt.ylabel('RCS (dBsm)', size=12)\n",
    "\n",
    "plt.xlabel('Incident Angle (deg)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
